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20221231133160 = 23325471607743689
BaseRepresentation
bin1001001100100000111110…
…10011000111000111101000
32122121010112100212111121100
410212100133103013013220
510122301040132230120
6111001301053041400
74154635646436201
oct446203723070750
978533470774540
1020221231133160
116496859898882
122327015486260
13b38b140829a5
144dc9d9d3a5a8
152510021b1490
hex12641f4c71e8

20221231133160 has 192 divisors, whose sum is σ = 67159133683200. Its totient is φ = 5274306690048.

The previous prime is 20221231133141. The next prime is 20221231133161. The reversal of 20221231133160 is 6133113212202.

20221231133160 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 12 + 311 + 331 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (20221231133161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26818596 + ... + 27562284.

It is an arithmetic number, because the mean of its divisors is an integer number (349787154600).

Almost surely, 220221231133160 is an apocalyptic number.

20221231133160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221231133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33579566841600).

20221231133160 is an abundant number, since it is smaller than the sum of its proper divisors (46937902550040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221231133160 is a wasteful number, since it uses less digits than its factorization.

20221231133160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745360 (or 745353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 20221231133160 its reverse (6133113212202), we get a palindrome (26354344345362).

The spelling of 20221231133160 in words is "twenty trillion, two hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred sixty".